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Arisa [49]
3 years ago
11

Find the distance between M(6, -7) and a line that contains C(-6, -2) and H(-1, 10).

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0

Answer

Step-by-step explanation:

i really need help with it

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4 years ago
5^(2x-1)+5^(x+1)=250<br> how do you solve?<br> thank you
zepelin [54]

Answer:

<em>x = 2</em>

Step-by-step explanation:

<u>Exponential Equations</u>

Solve:

5^{2x-1}+5^{x+1}=250

Separate each exponential:

5^{2x}5^{-1}+5^{x}5^{1}=250

Operating:

\displaystyle \frac{5^{2x}}{5}+5^{x}5=250

Multiplying by 5:

5^{2x}+25\cdot5^x=1250

Rearranging:

5^{2x}+25\cdot5^x-1250=0

Recall that:

5^{2x}=(5^{x})^2

(5^{x})^2+25\cdot5^x-1250=0

Calling

y=5^{x}:

y^2+25y-1250=0

Factoring:

(y-25)(y+50)=0

There are two possible solutions:

y=25

y=-50

Since

y=5^{x}

y cannot be negative, thus:

5^{x}=25=5^2

The solution is:

x = 2

8 0
3 years ago
Which of the following is a solution of x-6&lt;6 AND x+4&gt;-1..
alina1380 [7]

Answer:

2

Step-by-step explanation:

let me know if you need explanation

8 0
3 years ago
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